# 1476. Subrectangle Queries

## Description

Implement the class SubrectangleQueries which receives a rows x cols rectangle as a matrix of integers in the constructor and supports two methods:

1. updateSubrectangle(int row1, int col1, int row2, int col2, int newValue)

• Updates all values with newValue in the subrectangle whose upper left coordinate is (row1,col1) and bottom right coordinate is (row2,col2).

2. getValue(int row, int col)

• Returns the current value of the coordinate (row,col) from the rectangle.

Example 1:

Input
[[[[1,2,1],[4,3,4],[3,2,1],[1,1,1]]],[0,2],[0,0,3,2,5],[0,2],[3,1],[3,0,3,2,10],[3,1],[0,2]]
Output
[null,1,null,5,5,null,10,5]
Explanation
SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,2,1],[4,3,4],[3,2,1],[1,1,1]]);
// The initial rectangle (4x3) looks like:
// 1 2 1
// 4 3 4
// 3 2 1
// 1 1 1
subrectangleQueries.getValue(0, 2); // return 1
// After this update the rectangle looks like:
// 5 5 5
// 5 5 5
// 5 5 5
// 5 5 5
subrectangleQueries.getValue(0, 2); // return 5
subrectangleQueries.getValue(3, 1); // return 5
// After this update the rectangle looks like:
// 5   5   5
// 5   5   5
// 5   5   5
// 10  10  10
subrectangleQueries.getValue(3, 1); // return 10
subrectangleQueries.getValue(0, 2); // return 5


Example 2:

Input
[[[[1,1,1],[2,2,2],[3,3,3]]],[0,0],[0,0,2,2,100],[0,0],[2,2],[1,1,2,2,20],[2,2]]
Output
[null,1,null,100,100,null,20]
Explanation
SubrectangleQueries subrectangleQueries = new SubrectangleQueries([[1,1,1],[2,2,2],[3,3,3]]);
subrectangleQueries.getValue(0, 0); // return 1
subrectangleQueries.getValue(0, 0); // return 100
subrectangleQueries.getValue(2, 2); // return 100
subrectangleQueries.getValue(2, 2); // return 20


Constraints:

• There will be at most 500 operations considering both methods: updateSubrectangle and getValue.
• 1 <= rows, cols <= 100
• rows == rectangle.length
• cols == rectangle[i].length
• 0 <= row1 <= row2 < rows
• 0 <= col1 <= col2 < cols
• 1 <= newValue, rectangle[i][j] <= 10^9
• 0 <= row < rows
• 0 <= col < cols

## Solutions

Use history list to save the updated record.

• class SubrectangleQueries {
private int[][] g;

public SubrectangleQueries(int[][] rectangle) {
g = rectangle;
}

public void updateSubrectangle(int row1, int col1, int row2, int col2, int newValue) {
ops.addFirst(new int[] {row1, col1, row2, col2, newValue});
}

public int getValue(int row, int col) {
for (var op : ops) {
if (op[0] <= row && row <= op[2] && op[1] <= col && col <= op[3]) {
return op[4];
}
}
return g[row][col];
}
}

/**
* Your SubrectangleQueries object will be instantiated and called as such:
* SubrectangleQueries obj = new SubrectangleQueries(rectangle);
* int param_2 = obj.getValue(row,col);
*/

• class SubrectangleQueries {
public:
vector<vector<int>> g;
vector<vector<int>> ops;

SubrectangleQueries(vector<vector<int>>& rectangle) {
g = rectangle;
}

void updateSubrectangle(int row1, int col1, int row2, int col2, int newValue) {
ops.push_back({row1, col1, row2, col2, newValue});
}

int getValue(int row, int col) {
for (int i = ops.size() - 1; ~i; --i) {
auto op = ops[i];
if (op[0] <= row && row <= op[2] && op[1] <= col && col <= op[3]) {
return op[4];
}
}
return g[row][col];
}
};

/**
* Your SubrectangleQueries object will be instantiated and called as such:
* SubrectangleQueries* obj = new SubrectangleQueries(rectangle);
* int param_2 = obj->getValue(row,col);
*/

• class SubrectangleQueries:
def __init__(self, rectangle: List[List[int]]):
self.g = rectangle
self.ops = []

self, row1: int, col1: int, row2: int, col2: int, newValue: int
) -> None:
self.ops.append((row1, col1, row2, col2, newValue))

def getValue(self, row: int, col: int) -> int:
for r1, c1, r2, c2, v in self.ops[::-1]:
if r1 <= row <= r2 and c1 <= col <= c2:
return v
return self.g[row][col]

# Your SubrectangleQueries object will be instantiated and called as such:
# obj = SubrectangleQueries(rectangle)
# param_2 = obj.getValue(row,col)


• type SubrectangleQueries struct {
g   [][]int
ops [][]int
}

func Constructor(rectangle [][]int) SubrectangleQueries {
return SubrectangleQueries{rectangle, [][]int{} }
}

func (this *SubrectangleQueries) UpdateSubrectangle(row1 int, col1 int, row2 int, col2 int, newValue int) {
this.ops = append(this.ops, []int{row1, col1, row2, col2, newValue})
}

func (this *SubrectangleQueries) GetValue(row int, col int) int {
for i := len(this.ops) - 1; i >= 0; i-- {
op := this.ops[i]
if op[0] <= row && row <= op[2] && op[1] <= col && col <= op[3] {
return op[4]
}
}
return this.g[row][col]
}

/**
* Your SubrectangleQueries object will be instantiated and called as such:
* obj := Constructor(rectangle);
* param_2 := obj.GetValue(row,col);
*/

• class SubrectangleQueries {
g: number[][];
ops: number[][];
constructor(rectangle: number[][]) {
this.g = rectangle;
this.ops = [];
}

row1: number,
col1: number,
row2: number,
col2: number,
newValue: number,
): void {
this.ops.push([row1, col1, row2, col2, newValue]);
}

getValue(row: number, col: number): number {
for (let i = this.ops.length - 1; ~i; --i) {
const [r1, c1, r2, c2, v] = this.ops[i];
if (r1 <= row && row <= r2 && c1 <= col && col <= c2) {
return v;
}
}
return this.g[row][col];
}
}

/**
* Your SubrectangleQueries object will be instantiated and called as such:
* var obj = new SubrectangleQueries(rectangle)